Atkin-Lehner |
2- 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
30438n |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-3594666924 = -1 · 22 · 312 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 3 -5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-176,-2977] |
[a1,a2,a3,a4,a6] |
j |
-822656953/4930956 |
j-invariant |
L |
4.6924750562472 |
L(r)(E,1)/r! |
Ω |
0.58655938203063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146e1 |
Quadratic twists by: -3 |